Question

37. IF 6 times the term of an AP is equal to 14 times the 14 term, show that
its 20= term is zero.​

Answer 1

Answer:

Hope it will help you.

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Step-by-step explanation:

6a*6=9a*9

6(a+5d)=9(a+8d)

6a+30d=9a+72d

6a-9a=72d-30

-3a=42d

a/d=-42/3

a=-42

d=3

a*15=a+14d

=-42+42

=0.

Answer 2

Step-by-step explanation:

IF 6 times the 6 term of an AP is equal to 14 times the 14 term, show that

its 20= term is zero.​

===

Given:

• 6*a₆=14*a₁₄

We know that:

• a₆=a+5d and a₁₄=a+13d

Then as per above given:

• 6*(a+5d)=14*(a+13d)
• 6a+30d=14a+182d
• 8a+152d=0
• a+19d=0
• a₂₀=0

Solved